Pub Date : 2012-01-01DOI: 10.3724/SP.J.1160.2012.00084
Y. Bi-cheng
In this paper,by using the way of weight function and the technic of real analysis and functional analysis,a Hilbert-type integral operator T with the none-homogeneous kernel is defined, and the norm is obtained.As applications,two equivalent inequalities related with the norm are given,the reverse forms and some particular cases with the best constant factors are considered.
{"title":"On a Hilbert-Type Integral Operator with the None-Homogeneous Kernel","authors":"Y. Bi-cheng","doi":"10.3724/SP.J.1160.2012.00084","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00084","url":null,"abstract":"In this paper,by using the way of weight function and the technic of real analysis and functional analysis,a Hilbert-type integral operator T with the none-homogeneous kernel is defined, and the norm is obtained.As applications,two equivalent inequalities related with the norm are given,the reverse forms and some particular cases with the best constant factors are considered.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"84"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69836294","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2012-01-01DOI: 10.3724/SP.J.1160.2012.00095
Hai-Bo Chen, Ya-cheng Liu
In this paper,we study the existence of the global strong solutions for a class of semi-linear dual-temperature equation.We introduce the potential well method and mainly prove the existence theorems of the global strong solutions,and then we,prove some norm estimates of solutions and their derivatives before the proof of theorem.
{"title":"Existence of the Global Strong Solutions for a Class of Semi-linear Dual-Temperature Heat Equation","authors":"Hai-Bo Chen, Ya-cheng Liu","doi":"10.3724/SP.J.1160.2012.00095","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00095","url":null,"abstract":"In this paper,we study the existence of the global strong solutions for a class of semi-linear dual-temperature equation.We introduce the potential well method and mainly prove the existence theorems of the global strong solutions,and then we,prove some norm estimates of solutions and their derivatives before the proof of theorem.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"95"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69836506","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2012-01-01DOI: 10.3724/SP.J.1160.2012.00113
Feng Wang, Xiangli Fei, Limin Yan
{"title":"Existence of Positive Solution for a Second Order two Point Boundary Value Problem with Sign-changing Green's Function","authors":"Feng Wang, Xiangli Fei, Limin Yan","doi":"10.3724/SP.J.1160.2012.00113","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00113","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"113"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69836518","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2012-01-01DOI: 10.3724/SP.J.1160.2012.00147
Chen, Yong, Peng, Qi, Shi, Shuo
In this paper, we consider the existence of positive solutions for the singular fourth- order four point boundary value problem with p-Laplacian operator. By using the fixed point theorem of cone expansion and compression, the existence of multiple positive solutions is ob- tained.
{"title":"Positive Solutions of Singular Fourth Order Four Point Boundary Value Problems with p-Laplacian Operator","authors":"Chen, Yong, Peng, Qi, Shi, Shuo","doi":"10.3724/SP.J.1160.2012.00147","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00147","url":null,"abstract":"In this paper, we consider the existence of positive solutions for the singular fourth- order four point boundary value problem with p-Laplacian operator. By using the fixed point theorem of cone expansion and compression, the existence of multiple positive solutions is ob- tained.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"22 1","pages":"671-681"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69836905","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2012-01-01DOI: 10.3724/SP.J.1160.2012.00346
Liu Li
{"title":"Characterization of the Nonemptiness and Weak Compactness of Solution Sets of Nonconvex Vector Optimization Problems","authors":"Liu Li","doi":"10.3724/SP.J.1160.2012.00346","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00346","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"346"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69837812","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2012-01-01DOI: 10.3724/SP.J.1160.2012.00014
Zhongrui Shi, Chunyan Liu
In this talk,we make a survey for criteria of the exposed points and the exposedness for the sequence spaces of Orlicz type,such as the classical Orlicz spaces,general Orlicz spaces and Musielak-Orlicz spaces,endowed with Luxemburg norm and Orlicz norm respectively.It is well known that explosiveness is basic concept in the geometric theory of Banach spaces.They have numerous application in separation theory and control theory.Criteria for exposed points and strongly exposed points in all classical Orlicz spaces were given in[10-12].In recent years,Zhao and Cui in[6]discussed the problem in Musielak-Orlicz sequence spaces under some restriction. By counterexamples,we show that the criteria of extreme points in[8]and exposed points in[6] are not true,and we give the criteria for exposed points and strongly exposed points in arbitrary Musielak-Orlicz sequence spaces equipped with Luxemburg norm and Orlicz norm by getting rid of the restriction on Musielak-Orlicz function in[6].
{"title":"Explosiveness of Musielak-Orlicz Sequence Spaces","authors":"Zhongrui Shi, Chunyan Liu","doi":"10.3724/SP.J.1160.2012.00014","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00014","url":null,"abstract":"In this talk,we make a survey for criteria of the exposed points and the exposedness for the sequence spaces of Orlicz type,such as the classical Orlicz spaces,general Orlicz spaces and Musielak-Orlicz spaces,endowed with Luxemburg norm and Orlicz norm respectively.It is well known that explosiveness is basic concept in the geometric theory of Banach spaces.They have numerous application in separation theory and control theory.Criteria for exposed points and strongly exposed points in all classical Orlicz spaces were given in[10-12].In recent years,Zhao and Cui in[6]discussed the problem in Musielak-Orlicz sequence spaces under some restriction. By counterexamples,we show that the criteria of extreme points in[8]and exposed points in[6] are not true,and we give the criteria for exposed points and strongly exposed points in arbitrary Musielak-Orlicz sequence spaces equipped with Luxemburg norm and Orlicz norm by getting rid of the restriction on Musielak-Orlicz function in[6].","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"14"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69835987","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2012-01-01DOI: 10.3724/SP.J.1160.2012.00079
Xian Zhang
The purposes of this paper are to discuss some topological properties of cone metric spaces.We should define neighborhood,open set and topology in cone metric space and study the convergence of sequence in cone metric spaces.
{"title":"Some Topological Properties of Cone Metric Space","authors":"Xian Zhang","doi":"10.3724/SP.J.1160.2012.00079","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00079","url":null,"abstract":"The purposes of this paper are to discuss some topological properties of cone metric spaces.We should define neighborhood,open set and topology in cone metric space and study the convergence of sequence in cone metric spaces.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"94 1","pages":"79"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69836065","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2012-01-01DOI: 10.3724/SP.J.1160.2012.00132
Yan-nan Liu
{"title":"Evolution of Hypersurfaces by Their Affine Mean Curvarure","authors":"Yan-nan Liu","doi":"10.3724/SP.J.1160.2012.00132","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00132","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"132"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69836641","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2012-01-01DOI: 10.3724/SP.J.1160.2012.00177
Suqing Hou, He Li, Kaisu Wu
Approximate solving method for the non-linear operator equation is investigated in this paper.First,we generalize the accelerative iterative formula of the non-linear functional equation so that we obtain the high-speed convergent iterative formula.Finally,the new accelerative iterative formula has been generalized for the non-linear operator equation.Using the asymptotic expansions of the non-linear operator,we prove that the new accelerative iterative formula is convergence with order 3.
{"title":"Accelerative Iterative Formula for the Non-linear Operator Equation","authors":"Suqing Hou, He Li, Kaisu Wu","doi":"10.3724/SP.J.1160.2012.00177","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00177","url":null,"abstract":"Approximate solving method for the non-linear operator equation is investigated in this paper.First,we generalize the accelerative iterative formula of the non-linear functional equation so that we obtain the high-speed convergent iterative formula.Finally,the new accelerative iterative formula has been generalized for the non-linear operator equation.Using the asymptotic expansions of the non-linear operator,we prove that the new accelerative iterative formula is convergence with order 3.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"177"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69836797","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2012-01-01DOI: 10.3724/SP.J.1160.2012.00306
Zhaoyan Wang
{"title":"An Important Property of Almost Periodic System","authors":"Zhaoyan Wang","doi":"10.3724/SP.J.1160.2012.00306","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00306","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"306"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69837220","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：